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Finding the Fourth Proportional to 65,482.36, 98,224.08 and 35,884.05

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Solution

The fourth proportional to 65,482.36, 98,224.08 and 35,884.05 is: 53,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482.36 : 98,224.08 = 35,884.05 : x
  2. Step 2: Convert to fraction form
    65,482.36/98,224.08 = 35,884.05/x
  3. Step 3: Cross multiply
    65,482.36x = 98,224.08 × 35,884.05
  4. Step 4: Simplify right side
    65,482.36x = 3,524,677,295.02
  5. Step 5: Solve for x
    x = 3,524,677,295.02/65,482.36
  6. Step 6: Final answer
    x = 53,826.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.